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arXiv · 2308.04201

Decidability in geometric grid classes of permutations

Samuel Braunfeld
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Abstract

We prove that the basis and the generating function of a geometric grid class of permutations Geom$(M)$ are computable from the matrix $M$, as well as some variations on this result. Our main tool is monadic second-order logic on permutations and words.

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Samuel Braunfeld. 2024-09-15. Decidability in geometric grid classes of permutations. https://doi.org/10.1090/proc%2F17083

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